Reflections on the Coordinate Plane

Reflections on the Coordinate Plane

Learning Target

• I can determine the effects reflections have on coordinates.

X-Axis Reflections

• Figure is flipped across the x-axis.

• Point A and Counterpart Point D

• Point A ( 2, 1), whereas Point D ( 2, -1)

• What do you notice?

• Rule: ( x, - y )

• The x value remains the same, y value gets the opposite sign.

Y-Axis Reflections

• Figure is flipped across the y-axis

• Let's look closer at B and B'

• Point B ( 5, 2) and Point B' ( -5, 2)

• What do you notice?

• The y values remained the same and x values have the opposite sign.

• Rule: ( -x, y )

Let's Try It!

• Find Point R

• ( 3, -2)

• Reflect this point over the x-axis and put your answer in the chat box.

• Find Point Q

• ( 1, - 2)

• Reflect this point over the y-axis and put your answer in the chat box.

Multiple Choice

Over which axis was the figure flipped?

• The y-axis

• The x-axis

• Both axis

• Neither axis

Multiple Choice

Point B has coordinates ( 9, 3) and is reflected across the x-axis. What are the coordinates of B'?

• ( 3, 9)

• ( -9, 3)

• ( 9, -3)

• ( -3, -9 )